Theory of thermostatted inhomogeneous granular fluids: a self-consistent density functional description

Abstract

The authors present a study of the non equilibrium statistical properties of a one dimensional hard-rod fluid dissipating energy via inelastic collisions and subject to the action of a Gaussian heat bath, simulating an external driving mechanism. They show that the description of the fluid based on the one-particle phase-space reduced distribution function, in principle necessary because of the presence of velocity dependent collisional dissipation, can be contracted to a simpler description in configurational space. Indeed, by means of a multiple-time scale method the authors derive a self-consistent governing equation for the particle density distribution function. This equation is similar to the dynamic density functional equation employed in the study of colloids, but contains additional terms taking into account the inelastic nature of the fluid. Such terms cannot be derived from a Liapunov generating functional and contribute not only to the relaxational properties, but also to the non equilibrium steady state properties. A validation of the theory against molecular dynamics simulations is presented in a series of cases, and good agreement is found.

arXiv commentRevTeX4, 18 pages, 9 eps-figures

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Cited by in corpus (16)

• Classical dynamical density functional theory: from fundamentals to applications
• Towards a statistical mechanical theory of active fluids
• Transport properties for driven granular fluids in situations close to homogeneous steady states
• The overdamped limit of dynamic density functional theory: Rigorous results
• Effective potential method for active particles
• Dynamic density functional theory versus Kinetic theory of simple fluids
• Transport coefficients for driven granular mixtures at low-density
• Homogeneous steady states in a granular fluid driven by a stochastic bath with friction
• Homogeneous states in driven granular mixtures: Enskog kinetic theory versus molecular dynamics simulations
• Beyond the Dynamic Density Functional theory for steady currents. Application to driven colloidal particles in a channel
• Heat flux of driven granular mixtures at low density. Stability analysis of the homogeneous steady state
• Modelling inelastic granular media using Dynamical Density Functional Theory
• Kinetic Density Functional Theory: A microscopic approach to fluid mechanics
• Hydrodynamics of a Granular Gas in a Heterogeneous Environment
• Inelastic Maxwell models for monodisperse gas-solid flows
• Thermally induced directed currents in hard rod systems